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math.DG2002
Laplacians in Odd Symplectic Geometry
Hovhannes M. Khudaverdian
We consider odd Laplace operators arising in odd symplectic geometry. Approach based on semidensities (densities of weight 1/2) is developed. The role of semidensities in the Batal…
math.DG2000
Semidensities on Odd Symplectic Supermanifolds
Hovhannes Khudaverdian
We consider semidensities on a supermanifold E with an odd symplectic structure. We define a new -operator action on semidensities as the proper framework for Batalin-Vilkovisky…